Séminaire Lotharingien de Combinatoire, 95B.68 (2026), 12 pp.
Alibek Adilzhan and Damir Yeliussizov
Flagged Hamel-Goulden Formulas
Abstract.
We obtain Hamel-Goulden-type ribbon decomposition determinantal formulas for
flagged supersymmetric Schur functions.
As an application, we derive corresponding new determinantal formulas for dual refined canonical stable Grothendieck polynomials. These results generalize and produce a number of new determinantal formulas for these symmetric functions including Jacobi-Trudi and skew Giambelli-type hook determinants.
Received: November 15, 2025.
Accepted: February 15, 2026.
Final version: April 1, 2026.
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